(5-4x)(4-5x)=

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Solution for (5-4x)(4-5x)= equation: 


Simplifying
(5 + -4x)(4 + -5x) = 0

Multiply (5 + -4x) * (4 + -5x)
(5(4 + -5x) + -4x * (4 + -5x)) = 0
((4 * 5 + -5x * 5) + -4x * (4 + -5x)) = 0
((20 + -25x) + -4x * (4 + -5x)) = 0
(20 + -25x + (4 * -4x + -5x * -4x)) = 0
(20 + -25x + (-16x + 20x2)) = 0

Combine like terms: -25x + -16x = -41x
(20 + -41x + 20x2) = 0

Solving
20 + -41x + 20x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(4 + -5x)(5 + -4x) = 0


Subproblem 1
Set the factor '(4 + -5x)' equal to zero and attempt to solve:

Simplifying
4 + -5x = 0

Solving
4 + -5x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + -5x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5x = 0 + -4
-5x = 0 + -4

Combine like terms: 0 + -4 = -4
-5x = -4

Divide each side by '-5'.
x = 0.8

Simplifying
x = 0.8

Subproblem 2
Set the factor '(5 + -4x)' equal to zero and attempt to solve:

Simplifying
5 + -4x = 0

Solving
5 + -4x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + -4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = 0 + -5
-4x = 0 + -5

Combine like terms: 0 + -5 = -5
-4x = -5

Divide each side by '-4'.
x = 1.25

Simplifying
x = 1.25
Solution
x = {0.8, 1.25}

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